Polytope 3741
Image of polytope 3741 PALP id: 3741
grdb id: 524265
Integer points: [ 1 0 0 0 -1 -4 -3 -2 -1 -3 -2 -1 0 -2 -1 -2 -1 0 -1 0 0]
[ 0 1 -1 1 -2 1 1 1 1 0 0 0 0 -1 -1 1 1 1 0 0 -1]
[ 0 0 0 2 -2 -2 -1 0 1 -2 -1 0 1 -2 -1 -1 0 1 -1 0 -1]
Degree: 16
Hilbert function: 1 + 11 t + 45 t2 + 119 t3 + 249 t4 + 451 t5 + 741 t6 + 1135 t7 + 1649 t8 + 2299 t9 + 3101 t10 + ...
Polynomials:
Period sequence Fano variety Laurent polynomial
20 rank 1, V16 y*z2 + 2*y*z + x + y + 2*z + 4*x-1*y*z + 4*x-1*y + y-1 + 7*x-1 + 6*x-2*y + 2*y-1*z-1 + 4*x-1*z-1 + 2*x-2*y*z-1 + 4*x-1*y-1*z-1 + 8*x-2*z-1 + 4*x-3*y*z-1 + x-1*y-2*z-2 + 3*x-2*y-1*z-2 + 3*x-3*z-2 + x-4*y*z-2
Facets:
Facet Multiplicity Admissible lattice Minkowksi decompositions
Image of facet 32 1 Lattice Minkowski decompositions of facet 32
Image of facet 1 3 irreducible and admissible
Image of facet 35 1 Lattice Minkowski decompositions of facet 35
Image of facet 167 1 Lattice Minkowski decompositions of facet 167
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